{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_radviz:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Radviz\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Radviz maps a higher dimensional space with a non-linear function to two dimensions.\n",
    "Let us visualize some test data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "code": "visualization/usage_radviz.py",
    "section": "load_data"
   },
   "outputs": [],
   "source": [
    "from pymoo.factory import get_problem, get_reference_directions\n",
    "\n",
    "ref_dirs = get_reference_directions(\"uniform\", 6, n_partitions=5)\n",
    "F = get_problem(\"dtlz1\").pareto_front(ref_dirs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simple Radviz plot with points can be created by:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "code": "visualization/usage_radviz.py",
    "section": "radviz"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 340,
       "width": 460
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.visualization.radviz import Radviz\n",
    "Radviz().add(F).show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot can be further customized by supplying a title, labels, and by using the plotting directives from matplotlib. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "code": "visualization/usage_radviz.py",
    "section": "radviz_custom"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 361,
       "width": 500
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot = Radviz(title=\"Optimization\",\n",
    "              legend=(True, {'loc': \"upper left\", 'bbox_to_anchor': (-0.1, 1.08, 0, 0)}),\n",
    "              labels=[\"profit\", \"cost\", \"sustainability\", \"environment\", \"satisfaction\", \"time\"],\n",
    "              endpoint_style={\"s\": 70, \"color\": \"green\"})\n",
    "plot.set_axis_style(color=\"black\", alpha=1.0)\n",
    "plot.add(F, color=\"grey\", s=20)\n",
    "plot.add(F[65], color=\"red\", s=70, label=\"Solution A\")\n",
    "plot.add(F[72], color=\"blue\", s=70, label=\"Solution B\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that radviz plots are by default normalized."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### API"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. autoclass:: pymoo.visualization.radviz.Radviz\n",
    "    :noindex:"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
